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Formula of square

Formula of square

 

  1. (a + b)2 = a2+2ab+b2

 

  1. (a – b)2 = a2-2ab+b2

 

  1. a2-b2 = (a + b) (a – b)

 

  1. (x + a) ( x + b) = x2 + (a + b)x+ a b

 

  1. (a + b +c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

 

Corollary

 

  1. a2+ b2 = (a + b)2 -2ab
  2. a2+ b2 = (a – b)2 +2ab
  3. (a + b)2 = (a – b)2 + 4ab
  1. (a – b)2 = (a + b)2 – 4ab

 

Screenshot_52

Screenshot_53

  1. a2+b2 +c2 = (a + b + c)2 – 2(ab + bc + ca)
  2. 2(ab + bc + ca) = (a + b + c)2 – a2+b2 +c2

 

 

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